Answer:
<h2>B. x² - 3x - 40</h2>
Step-by-step explanation:
The factored form of quadratic function:

where x₁ and x₂ are the roots of the quadratic function and the solutions of the corresponding quadratic equation.
We have x₁ = 8 and x₂ = -5. Substitute:

<em>use FOIL: </em><em>(a + b)(c + d) = ac + ad + bc + bd</em>
![y=a[(x)(x)+(x)(5)+(-8)(x)+(-8)(5)]](https://tex.z-dn.net/?f=y%3Da%5B%28x%29%28x%29%2B%28x%29%285%29%2B%28-8%29%28x%29%2B%28-8%29%285%29%5D)


For <em>a</em> = 1 we have the equation:
B. x² - 3x - 40
Answer:

Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.

Answer:
1081
Step-by-step explanation:
Factor r 4 t 4 out of 5 r 8 t 5 − 3 r 4 t 4 . r 4 t 4 ( 5 r 4 t − 3 )